Answer:
[tex]V=0.135\ units^3[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to teh scale factor elevated o the cube
Let
z ----> the scale factor
x ----> the volume of the dilated prism
y ----> the volume of the original prism
[tex]z^3=\frac{x}{y}[/tex]
we have
[tex]z=\frac{1}{10}[/tex]
[tex]y=135\ units^3[/tex]
substitute
[tex](\frac{1}{10})^3=\frac{x}{135}[/tex]
solve for x
[tex](\frac{1}{1,000})=\frac{x}{135}[/tex]
[tex]x=135/1,000=0.135\ units^3[/tex]
